The annual rate of increase of a population is equal to 2% of the size of the population. y y\,y is the population in millions and t t\,t is the time in years.
Write down a differential equation for this relationship
Show that y=Ae0.02ty = Ae^{0.02t}y=Ae0.02t where A A\,A is a constant
Given that the initial population is 2.5 million. Find the population after 10 years.
92 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.